105605011056 has 80 divisors (see below), whose sum is σ = 281443764224. Its totient is φ = 34096557312.

The previous prime is 105605010983. The next prime is 105605011097. The reversal of 105605011056 is 650110506501.

It is a super-2 number, since 2×105605011056² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262725 + ... + 529371.

Almost surely, 2^105605011056 is an apocalyptic number.

105605011056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105605011056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140721882112).

105605011056 is an abundant number, since it is smaller than the sum of its proper divisors (175838753168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105605011056 is a wasteful number, since it uses less digits than its factorization.

105605011056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266918 (or 266912 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

Adding to 105605011056 its reverse (650110506501), we get a palindrome (755715517557).

The spelling of 105605011056 in words is "one hundred five billion, six hundred five million, eleven thousand, fifty-six".